Analysis in Integer and Fractional Dimensions

- Series Number 71: Analysis in Integer and Fractional Dimensions

af

indgår i serie CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS


Analysis in Integer and Fractional Dimensions
  • Leveringstid 2-3 uger
  • Forventet levering 06-12-2019
Format:
Bog, hardback
Udgivelsesdato:
19-07-2001
Sprog:
Engelsk
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  • Yderligere info
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This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on 'dimension' as a basic counter of degrees of freedom, leading to precise relations between combinatorial measurements and various indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. The basic concepts of fractional Cartesian products and combinatorial dimension are introduced and linked to scales calibrated by harmonic-analytic and stochastic measurements. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and Frechet measures in stochastic analysis. This book is primarily aimed at graduate students specialising in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable to be used as a textbook. It is also of interest to scientists from other disciplines, including computer scientists, physicists, statisticians, biologists and economists.

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Udgivelsesdato:
19-07-2001
ISBN13:
9780521650847
Vægt:
1020 g
Dybde:
37 mm
Bredde:
152 mm
Højde:
229 mm
Nummer i serien:
71
Nummer i serien:
71
Format:
Hardback
  • Forfattere

  • Bibliotekernes beskrivelse

    This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It is primarily aimed at students with a basic background in graduate analysis. Also of interest to computer scientists, physicists, statisticians, biologists and economists. Worked examples or Exercises

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